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le total, the first equation would be 15.50X + 20Y = 3782. The second equation would be X + Y = 217. By solving these two equations simultaneously, we can determine that there were 122 children and 95 adults admitted to the amusement park on that day. This problem can be solved by setting up and solving a system of equations. Total admission fees collected and the total number of people admitted are used to create the equations to find the number of children and adults admitted.